Description
Require positive integer sourceDegree and targetDegree and return their sum minus two.
A graph's degree records how many edge incidences meet a vertex. Directed edges distinguish incoming and outgoing incidences, while loops and parallel edges require explicit counting conventions; a local degree formula does not reconstruct a graph.
Require positive integer sourceDegree and targetDegree and return their sum minus two.
When to use this tool
Use Line Graph One Edge Degree when you need a degree or incidence calculation under the stated graph convention.
How to use the tool and how it works
- Enter sourceDegree, targetDegree. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read degree. Use the output convention below.
Require positive integer sourceDegree and targetDegree and return their sum minus two.1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| sourceDegree | Source Degree | Required. Safe integer; minimum 1. |
| targetDegree | Target Degree | Required. Safe integer; minimum 1. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| degree | Degree | Required. Safe integer. |
{
"input": {
"sourceDegree": 3,
"targetDegree": 4
},
"output": {
"degree": 5
}
}Limitations and assumptions
- The line-graph degree formula assumes a nonloop edge in a simple undirected graph; loops, parallel edges, endpoint adjacency, and actual degrees are not checked.
- Inputs must satisfy both the field types and the cross-field conditions above. Invalid input causes an error; a successful false flag or documented placeholder is a different result.
- Numeric calculations use binary floating point unless exact decimal-integer arithmetic is explicitly stated. No hidden measurement tolerance or decimal rounding is added; nonfinite or out-of-contract results are rejected. Numeric signed-zero results are exported as zero.
Alternative or Complementary methods
Build an adjacency structure and count actual incidences when a full graph is available. Validate loop, multiplicity, direction, and vertex-set assumptions before applying a simple-graph identity.
References
Similar or alternative tools
- Edge Endpoint Degree Product
Require nonnegative integer firstDegree and secondDegree and return their exact product as productDecimal.
- Graph Cartesian Product Degree Term
Require nonnegative integer firstDegree and secondDegree and return their sum.